Finding the Third Proportional to 31,704 and 42,512

Step by Step Solution

1. Step 1: Write the proportion equation
   31,704 : 42,512 = 42,512 : x
2. Step 2: Convert to fraction form
   31,704/42,512 = 42,512/x
3. Step 3: Cross multiply
   31,704x = 42,512 × 42,512
4. Step 4: Simplify right side
   31,704x = 1,807,270,144
5. Step 5: Solve for x
   x = 1,807,270,144/31,704
6. Step 6: Final answer
   x = 57,004.48